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The ratio of the ages of A, B and C is 2 : 3 : 5 respectively. The age of A is what percentage of the difference between the ages of B and C?
- a)60
- b)75
- c)80
- d)100
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The ratio of the ages of A, B and C is 2 : 3 : 5 respectively. The age...
Understanding the Age Ratio
The ages of A, B, and C are in the ratio 2 : 3 : 5. This means we can represent their ages as:
- Age of A = 2x
- Age of B = 3x
- Age of C = 5x
Here, 'x' is a common multiplier for their ages.
Calculating the Difference Between Ages of B and C
To find the difference between the ages of B and C:
- Difference between ages of B and C = Age of C - Age of B
- Difference = 5x - 3x = 2x
Calculating Age of A as a Percentage of the Difference
Next, we need to find what percentage the age of A is of the difference calculated above:
- Age of A = 2x
- Difference = 2x
Now, we can calculate the percentage:
\[
\text{Percentage} = \left( \frac{\text{Age of A}}{\text{Difference}} \right) \times 100
\]
Substituting the values:
\[
\text{Percentage} = \left( \frac{2x}{2x} \right) \times 100 = 1 \times 100 = 100\%
\]
Conclusion
The age of A is 100% of the difference between the ages of B and C. Therefore, the correct answer is option 'D'.
This demonstrates how the ratio of their ages directly correlates to the percentage calculation based on the differences in their ages.
The ages of A, B, and C are in the ratio 2 : 3 : 5. This means we can represent their ages as:
- Age of A = 2x
- Age of B = 3x
- Age of C = 5x
Here, 'x' is a common multiplier for their ages.
Calculating the Difference Between Ages of B and C
To find the difference between the ages of B and C:
- Difference between ages of B and C = Age of C - Age of B
- Difference = 5x - 3x = 2x
Calculating Age of A as a Percentage of the Difference
Next, we need to find what percentage the age of A is of the difference calculated above:
- Age of A = 2x
- Difference = 2x
Now, we can calculate the percentage:
\[
\text{Percentage} = \left( \frac{\text{Age of A}}{\text{Difference}} \right) \times 100
\]
Substituting the values:
\[
\text{Percentage} = \left( \frac{2x}{2x} \right) \times 100 = 1 \times 100 = 100\%
\]
Conclusion
The age of A is 100% of the difference between the ages of B and C. Therefore, the correct answer is option 'D'.
This demonstrates how the ratio of their ages directly correlates to the percentage calculation based on the differences in their ages.
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The ratio of the ages of A, B and C is 2 : 3 : 5 respectively. The age...
Hence, Option D is correct.
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The ratio of the ages of A, B and C is 2 : 3 : 5 respectively. The age of A is what percentage of the difference between the ages of B and C?a)60b)75c)80d)100Correct answer is option 'D'. Can you explain this answer?
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